Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 215r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. mi
  2. itat
  3. fur
  4. est
  5. are
  6. te
  7. Han
  8. uti
  9. cina
  10. ria
  11. um
  12. MM
  13. elta
  14. im
  15. a C
  16. lom
  17. Vicu
  18. im
  19. p. 4
  20. oton
  21. qua
  22. mut
  23. set
  24. De Concursu Corporum.
  25. C
  26. seu AC et FH, ad quadratum AB. Sed summa quadratorum
  27. AC et fH aequatur quadrato ipsius AB; Ergo et potentia
  28. E et F simul aequantur potentiae iprius A.
  29. Prop. 24.
  30. Petus corporum concurrentium fit sevindum re-
  31. etam perpendicularem ad planum contactus mpuncto
  32. concursus quatonus ea directione ejus ipta motus drectio
  33. componitun.
  34. St (Tig.
  35. )corpora A et S concurrant directione
  36. As, ad planum contactus (scu corpora ambom puncto
  37. concursus tangens) CB angulum faciente obliquum,
  38. ex puncto B educatur BD normalis ad CB, et compleatur
  39. Nam ponamus quies cere corpus B (quia ad ictum nib
  40. refert, quod concurrentium quieseat per prop. 7. vel peri
  41. prop. 14.) ponamus praeterea motum AB produci motur
  42. composito ea AC et AD, perindo ac si recula esset FG
  43. e
  44. qua dum motu CB parallelo transfertur ea AC m d3,
  45. -
  46. 51
  47. interim corpus A iret m ipsa regula FG motuut AC vel
  48. B, inde enim (per prop. 2.) manifertum est productum
  49. ui motum AB. Sed in eo easm patet corpus A simul
  50. 10
  51. motum duobus motitus, uno in regulâ FG versus S3, et
  52. altero cum regula FG parallele ad CB, solo motu m
  53. regula FGversus CB agerem CB; itaque eum motus
  54. AB idem efficiat, quomodocunqu produitus intelligatur,
  55. semper ergo utus obliquus AB, non erit nisi secuntum
  56. drationim DB.
  57. dem demonstratur ea
  58. contideratione Elastri; nam si (fig.) corpus Aveniens
  59. motu ut2t, et ibi incurrens in Elastrum LM, pergat.
  60. ul
  61. linca

Cite

Leibniz-Handschriften zur Mathematik LH 35, 11, 18C, fol. 215r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068193:0435?run=74